estimation

But you don't have to be a superhero to experience this kind of flight. If you have a set of carbon-fiber wings and four engines, you can fly like Yves Rossy, also known as “Jetman.”Flying Like a RocketPhotograph: Moviestore Collection/Alamy Illustration: Rhett AllainIron Man doesn’t have wings. He doesn’t need them. Instead, his armored suit (which is most likely not made of iron) gives him augmented strength, some type of blaster fire from his hands, and most importantly—flight. Iron Man appears to fly using something…

Credit: Unsplash/CC0 Public Domain Electrification of public transport is widely seen as a promising way to save energy and reduce emissions. Electric buses generally have a low range and long charging time, which can lead to "range anxiety" among operators and drivers. Accurate energy consumption estimations of electric buses can guide operators and drivers to better plan and use electric buses, and effectively reduce "range…

How to smooth epidemic curves and estimate the time-varying reproduction number in a flexible wayPlot by authorA colleague (and friend) of mine recently published a research paper entitled “EpiLPS: A fast and flexible Bayesian tool for estimation of the time-varying reproduction number” in PLoS Computational Biology.I am not in the habit of sharing research paper to which I did not contribute. Nevertheless, I would like to make an exception with this one because I strongly believe that the method developed in the paper…

Now, what if I move outside this sphere? It turns out that the gravitational field due to a spherical distribution produces the same gravitational field as if all the mass was concentrated into a single point at the center of the sphere. This is kind of nice, as it allows us to easily calculate the gravitational field from the Earth by just using the distance from the center of the object, instead of worrying about its actual size and its total mass.Now, we have one more thing to consider: How does the gravitational field…

This is how to estimate the parameters of your Chirplet, using PythonPhoto by Adi Goldstein on UnsplashOne of the most common operations of Signal Processing is to transform the signal. The reason why we do that is that it is not always true that the easiest way to perform operations on your signal is by looking at it and analyzing it in its natural domain*.* I will refer to the natural domain as the original space of the signal. For example, if the signal is a time series, the natural domain is the 2D one where the x is…

Inference for Runge-Kutta integration with Pymc3Image by Brian AsareMachine learning methods have played an essential role in epidemiology research. Data scientists interested in this domain are lucky since they never have to search for a data-driven solution from scratch. On the contrary, they will be guided by some well-studied mathematical models.This post explains how to use Pymc3, a Python package for Bayesian statistical modeling, to build a bayesian inference to predict the disease spread informed by the most basic…

This article explains how to estimate travel times using known speed vectors indexed by quadkeysPhoto by Dino Reichmuth on UnsplashHow long is your road trip going to last? If you are like me, you go to Google maps or Here maps and query the route directly. You will not only get the fastest or shortest paths, but you will also get estimates of your travel times. These services report the most common speeds according to the learned time patterns and live traffic information and do so for the typical vehicles on the…

Really, the only difference is that this is a downward-curving path with the center of this circular curve below the slide instead of above. (Once again, the gray C-shape represents the path of the rider on the slide and the circular trajectory of their body, and the dot is the center of the circle.) That means the centripetal acceleration is also in the downward direction and towards the center of the circle.Since the acceleration switched directions, the normal force (N) has to be less than the radial component of the…

Image by SpaceX-Imagery from Pixabay (License)We’ll learn how to use the 2SLS technique to estimate linear models containing Instrumental VariablesIn this article, we’ll learn about two different ways to estimate a linear model using the Instrumental Variables technique.In the previous article, we learnt about Instrumental Variables, what they are, and when and how to use them. Let’s recap what we learnt:Consider the following linear model:A linear model of two variables x_2 and x_3 (Image by Author)In the above equation,…

Let's consider an example with an imaginary planet. In this solar system, the planet completes one orbit around its sun in 8.6 solar days, instead of 365 days, as the Earth does. (I'm using a shorter year because it magnifies the difference between solar and stellar days, so you can see it more easily.)Here is an animation showing the difference between solar and stellar days for this planet. The arrow shows when a certain spot on the planet points at a distant star (which would be way outside the frame) or at its sun.…